Algebra 2

Unit 1: Intro to Functions

Lesson 3: Linear functions:

Objectives:

  • Students can learn about linear functions

Game Plan:

Do Now: Solving EQUATIONS

Notes on linear equations.

Independent Practice

Homework: Worksheet 2-3

Video:

Vocabulary:

Rate of change

Algebra 2 Lesson 3

Do Now:

1)What is the value of x in the equation ?

  1. 4
  2. 6
  3. 8
  4. 11

2)Which value of x satisfies the equation ?

  1. 8.25
  2. 8.89
  3. 19.25
  4. 44.92

3)Solve for m:

4) Solve for x: (x + 2) = x − 4

  1. 8
  2. 13
  3. 15
  4. 23

Linear Equation Intro

1)Complete the tables and graph each of the linear functions below.

Input / Output
-2
-1
0
1
2

What do you conclude about those lines?

What do you conclude about those lines?

Summary: parallel Lines vs perpendicular lines:

Writing Equations of lines:

In order to write an equation of a given line, you must find the slope and the y-intercept or find two points that pass through the lines.

Determine the equation of each line shown below.

a) ______

b) ______

c) ______

d) ______

e) ______

f) ______

Writing Equations of Lines, given…….

REMEMBER!

Directions: Given the information below, write the equation of the line and then find another point that lies on that line.

1) Point on line: (1, -1) slope/Rate of change =

2) Point on line: (-5, -2) Rate of change =

3) Point on line: (3, 5) slope = 0

4) Point on line: (-6, 3) slope is undefined

5) Line passes through points (2, 4) and (4, -4)

6) Line passes through points (0, 0) and (-1, 1)

7) Line has an x-intercept of -3 and y-intercept of 6

Applied Problems Worksheet 2-3
7.A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.
-What is the average rate of change?
-Write a linear equation to represent (d) the distance of the hiker after (h) hours.

Write the linear equation for each of the following lines

8)
/ 9)
/ 10)
11 / 12 / 13